Quantitative Aptitude - Arithmetic Ability Questions

If sinA = x, then x is equal to

When Amar walk from P to Q and return from Q to P on cycle, it takes him 29 minutes. By walking both ways, it takes him 49 minutes. If he rides cycle both ways then what will be the total time (in minutes)?

What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?

The reciprocal of the sum of the reciprocals of 8/7 and 5/6 is:

The ratio of present ages of P and Q is 5 : 8. Three years later their ages will be in ratio 8 : 11. What is the present age (in years) of Q?

Two buses are moving towards each other with speed of 20 km/hr and 34 km/hr respectively. What will be the distance (in metres) between the two buses one second before they collide?

Robin can do a work in 10 hours. Pradeep and Robin together can do the same work in 4 hours. Pradeep and Nitin together can do the samework in 5 hours. In how many hours Nitin alone can complete the same work?

$$\begin{gathered} ∆ABC is similar to ∆PQR. If ratio of perimeters of ∆ABC and ∆PQR is 1:2 and \\ if PQ = 10 cm then what is the length of AB (in cm)? \end{gathered}$$